Cremona's table of elliptic curves

88825 = 5² · 11 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
88825a (1 curve)	0	5+ 11+ 17+ 19-	1  2 5+  4 11+ -1 17+ 19-
Curve Equation t 88825a1 [1,1,0,-299500,-68452875] 1
88825b (1 curve)	0	5+ 11+ 17+ 19-	-1  2 5+  0 11+  5 17+ 19-
Curve Equation t 88825b1 [1,1,1,-88,-34094] 1
88825c (1 curve)	0	5+ 11+ 17+ 19-	2  3 5+  0 11+  4 17+ 19-
Curve Equation t 88825c1 [0,0,1,29075,-213719] 1
88825d (1 curve)	2	5+ 11+ 17- 19+	0  1 5+  2 11+ -4 17- 19+
Curve Equation t Generators 88825d1 [0,1,1,17,1194] 1 [-6:271:8]&[18:87:1]
88825e (4 curves)	0	5+ 11+ 17- 19+	1  0 5+ -4 11+  2 17- 19+
Curve Equation t 88825e1 [1,-1,0,-31667,2176616] 2 88825e2 [1,-1,0,-34792,1723491] 4 88825e3 [1,-1,0,95833,11520366] 4 88825e4 [1,-1,0,-215417,-37110884] 2
88825f (2 curves)	2	5+ 11+ 17- 19+	-1 -2 5+ -4 11+  2 17- 19+
Curve Equation t Generators 88825f1 [1,0,0,-913,9192] 2 [-24:144:1]&[-13:144:1] 88825f2 [1,0,0,1462,49567] 2 [-23:74:1]&[-3:214:1]
88825g (1 curve)	0	5+ 11- 17+ 19+	0 -1 5+ -4 11-  6 17+ 19+
Curve Equation t 88825g1 [0,-1,1,417,-29682] 1
88825h (1 curve)	0	5+ 11- 17+ 19+	0  3 5+  4 11- -2 17+ 19+
Curve Equation t 88825h1 [0,0,1,-52586381710,4643906953808371] 1
88825i (1 curve)	0	5+ 11- 17+ 19+	2  1 5+ -2 11- -4 17+ 19+
Curve Equation t 88825i1 [0,1,1,-1850058,967944919] 1
88825j (1 curve)	0	5+ 11- 17+ 19+	-2  0 5+ -1 11-  2 17+ 19+
Curve Equation t 88825j1 [0,0,1,-7925,-274344] 1
88825k (2 curves)	1	5+ 11- 17+ 19-	0  2 5+  1 11-  4 17+ 19-
Curve Equation t Generators 88825k1 [0,-1,1,-969133,785471918] 1 [1812:70537:1] 88825k2 [0,-1,1,8380867,-16945049957] 1 [49304167:1136607142:29791]
88825l (4 curves)	1	5+ 11- 17+ 19-	1  0 5+  0 11- -6 17+ 19-
Curve Equation t Generators 88825l1 [1,-1,0,-29792,1924491] 2 [-190:931:1] 88825l2 [1,-1,0,-74917,-5250384] 4 [324:1938:1] 88825l3 [1,-1,0,212458,-35999509] 2 [514:14193:1] 88825l4 [1,-1,0,-1084292,-434234759] 2 [83342:8420279:8]
88825m (1 curve)	1	5+ 11- 17+ 19-	-2 -1 5+  4 11- -4 17+ 19-
Curve Equation t Generators 88825m1 [0,-1,1,-27758,1929168] 1 [-13:1512:1]
88825n (1 curve)	0	5- 11- 17- 19+	0  1 5-  4 11- -6 17- 19+
Curve Equation t 88825n1 [0,1,1,17,-231] 1
88825o (1 curve)	0	5- 11- 17- 19+	0 -3 5- -4 11-  2 17- 19+
Curve Equation t 88825o1 [0,0,1,-1314659542750,580488369226046406] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations